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Finding the Fourth Proportional to 8,523.74, 12,787.24 and 2,678.78

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Solution

The fourth proportional to 8,523.74, 12,787.24 and 2,678.78 is: 4,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.74 : 12,787.24 = 2,678.78 : x
  2. Step 2: Convert to fraction form
    8,523.74/12,787.24 = 2,678.78/x
  3. Step 3: Cross multiply
    8,523.74x = 12,787.24 × 2,678.78
  4. Step 4: Simplify right side
    8,523.74x = 34,254,202.77
  5. Step 5: Solve for x
    x = 34,254,202.77/8,523.74
  6. Step 6: Final answer
    x = 4,018.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.